TSTP Solution File: ALG214+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG214+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:33:01 EDT 2022
% Result : Theorem 10.56s 3.97s
% Output : CNFRefutation 10.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of clauses : 64 ( 49 unt; 15 nHn; 64 RR)
% Number of literals : 331 ( 13 equ; 242 neg)
% Maximal clause size : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2275,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,X4)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2275) ).
cnf(i_0_2392,negated_conjecture,
m1_subset_1(esk346_0,k1_zfmisc_1(u1_struct_0(esk345_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2392) ).
cnf(i_0_2395,negated_conjecture,
v6_rlvect_1(esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2395) ).
cnf(i_0_2396,negated_conjecture,
v5_rlvect_1(esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2396) ).
cnf(i_0_2397,negated_conjecture,
v4_rlvect_1(esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2397) ).
cnf(i_0_2398,negated_conjecture,
v3_rlvect_1(esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2398) ).
cnf(i_0_2399,negated_conjecture,
~ v3_struct_0(esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2399) ).
cnf(i_0_285,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk51_3(X2,X1,X3),X2,X1,X3)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_285) ).
cnf(i_0_2391,negated_conjecture,
m1_subset_1(esk347_0,k1_zfmisc_1(u1_struct_0(esk345_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2391) ).
cnf(i_0_2390,negated_conjecture,
r1_tarski(esk346_0,esk347_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2390) ).
cnf(i_0_2393,negated_conjecture,
l1_vectsp_2(esk345_0,esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2393) ).
cnf(i_0_2404,negated_conjecture,
v4_group_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2404) ).
cnf(i_0_2405,negated_conjecture,
v6_rlvect_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2405) ).
cnf(i_0_2406,negated_conjecture,
v5_rlvect_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2406) ).
cnf(i_0_2407,negated_conjecture,
v4_rlvect_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2407) ).
cnf(i_0_2408,negated_conjecture,
v3_rlvect_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2408) ).
cnf(i_0_2403,negated_conjecture,
v6_vectsp_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2403) ).
cnf(i_0_2401,negated_conjecture,
v8_vectsp_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2401) ).
cnf(i_0_2402,negated_conjecture,
v7_vectsp_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2402) ).
cnf(i_0_2400,negated_conjecture,
l3_vectsp_1(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2400) ).
cnf(i_0_2394,negated_conjecture,
v5_vectsp_2(esk345_0,esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2394) ).
cnf(i_0_2409,negated_conjecture,
~ v3_struct_0(esk344_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2409) ).
cnf(i_0_2388,negated_conjecture,
~ v1_rmod_5(esk346_0,esk344_0,esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2388) ).
cnf(i_0_284,plain,
( k5_rmod_4(X1,X2,esk51_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_284) ).
cnf(i_0_286,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_286) ).
cnf(i_0_2389,negated_conjecture,
v1_rmod_5(esk347_0,esk344_0,esk345_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_2389) ).
cnf(i_0_283,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk51_3(X2,X1,X3)) != k1_xboole_0
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ypnr_nl/lgb.p',i_0_283) ).
cnf(c_0_2437,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,X4)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2275 ).
cnf(c_0_2438,negated_conjecture,
m1_subset_1(esk346_0,k1_zfmisc_1(u1_struct_0(esk345_0))),
i_0_2392 ).
cnf(c_0_2439,negated_conjecture,
v6_rlvect_1(esk345_0),
i_0_2395 ).
cnf(c_0_2440,negated_conjecture,
v5_rlvect_1(esk345_0),
i_0_2396 ).
cnf(c_0_2441,negated_conjecture,
v4_rlvect_1(esk345_0),
i_0_2397 ).
cnf(c_0_2442,negated_conjecture,
v3_rlvect_1(esk345_0),
i_0_2398 ).
cnf(c_0_2443,negated_conjecture,
~ v3_struct_0(esk345_0),
i_0_2399 ).
cnf(c_0_2444,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk51_3(X2,X1,X3),X2,X1,X3)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_285 ).
cnf(c_0_2445,negated_conjecture,
( m2_rmod_4(X1,X2,esk345_0,X3)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk345_0,esk346_0)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ r1_tarski(esk346_0,X3)
| ~ l1_vectsp_2(esk345_0,X2)
| ~ v5_vectsp_2(esk345_0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(esk345_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2437,c_0_2438]),c_0_2439]),c_0_2440]),c_0_2441]),c_0_2442])]),c_0_2443]) ).
cnf(c_0_2446,negated_conjecture,
m1_subset_1(esk347_0,k1_zfmisc_1(u1_struct_0(esk345_0))),
i_0_2391 ).
cnf(c_0_2447,negated_conjecture,
r1_tarski(esk346_0,esk347_0),
i_0_2390 ).
cnf(c_0_2448,negated_conjecture,
( m2_rmod_4(esk51_3(X1,esk345_0,esk346_0),X1,esk345_0,esk346_0)
| v3_struct_0(X1)
| v1_rmod_5(esk346_0,X1,esk345_0)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(esk345_0,X1)
| ~ v5_vectsp_2(esk345_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2444,c_0_2438]),c_0_2439]),c_0_2440]),c_0_2441]),c_0_2442])]),c_0_2443]) ).
cnf(c_0_2449,negated_conjecture,
l1_vectsp_2(esk345_0,esk344_0),
i_0_2393 ).
cnf(c_0_2450,negated_conjecture,
v4_group_1(esk344_0),
i_0_2404 ).
cnf(c_0_2451,negated_conjecture,
v6_rlvect_1(esk344_0),
i_0_2405 ).
cnf(c_0_2452,negated_conjecture,
v5_rlvect_1(esk344_0),
i_0_2406 ).
cnf(c_0_2453,negated_conjecture,
v4_rlvect_1(esk344_0),
i_0_2407 ).
cnf(c_0_2454,negated_conjecture,
v3_rlvect_1(esk344_0),
i_0_2408 ).
cnf(c_0_2455,negated_conjecture,
v6_vectsp_1(esk344_0),
i_0_2403 ).
cnf(c_0_2456,negated_conjecture,
v8_vectsp_1(esk344_0),
i_0_2401 ).
cnf(c_0_2457,negated_conjecture,
v7_vectsp_1(esk344_0),
i_0_2402 ).
cnf(c_0_2458,negated_conjecture,
l3_vectsp_1(esk344_0),
i_0_2400 ).
cnf(c_0_2459,negated_conjecture,
v5_vectsp_2(esk345_0,esk344_0),
i_0_2394 ).
cnf(c_0_2460,negated_conjecture,
~ v3_struct_0(esk344_0),
i_0_2409 ).
cnf(c_0_2461,negated_conjecture,
~ v1_rmod_5(esk346_0,esk344_0,esk345_0),
i_0_2388 ).
cnf(c_0_2462,plain,
( k5_rmod_4(X1,X2,esk51_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_284 ).
cnf(c_0_2463,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_286 ).
cnf(c_0_2464,negated_conjecture,
( m2_rmod_4(X1,X2,esk345_0,esk347_0)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk345_0,esk346_0)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ l1_vectsp_2(esk345_0,X2)
| ~ v5_vectsp_2(esk345_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2445,c_0_2446]),c_0_2447])]) ).
cnf(c_0_2465,negated_conjecture,
m2_rmod_4(esk51_3(esk344_0,esk345_0,esk346_0),esk344_0,esk345_0,esk346_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2448,c_0_2449]),c_0_2450]),c_0_2451]),c_0_2452]),c_0_2453]),c_0_2454]),c_0_2455]),c_0_2456]),c_0_2457]),c_0_2458]),c_0_2459])]),c_0_2460]),c_0_2461]) ).
cnf(c_0_2466,negated_conjecture,
( k5_rmod_4(X1,esk345_0,esk51_3(X1,esk345_0,esk346_0)) = k1_rlvect_1(esk345_0)
| v3_struct_0(X1)
| v1_rmod_5(esk346_0,X1,esk345_0)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(esk345_0,X1)
| ~ v5_vectsp_2(esk345_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2462,c_0_2438]),c_0_2439]),c_0_2440]),c_0_2441]),c_0_2442])]),c_0_2443]) ).
cnf(c_0_2467,negated_conjecture,
( k2_rmod_4(X1,esk345_0,X2) = k1_xboole_0
| v3_struct_0(X1)
| k5_rmod_4(X1,esk345_0,X2) != k1_rlvect_1(esk345_0)
| ~ m2_rmod_4(X2,X1,esk345_0,esk347_0)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v1_rmod_5(esk347_0,X1,esk345_0)
| ~ l1_vectsp_2(esk345_0,X1)
| ~ v5_vectsp_2(esk345_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2463,c_0_2446]),c_0_2439]),c_0_2440]),c_0_2441]),c_0_2442])]),c_0_2443]) ).
cnf(c_0_2468,negated_conjecture,
m2_rmod_4(esk51_3(esk344_0,esk345_0,esk346_0),esk344_0,esk345_0,esk347_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2464,c_0_2465]),c_0_2450]),c_0_2451]),c_0_2452]),c_0_2453]),c_0_2454]),c_0_2455]),c_0_2456]),c_0_2457]),c_0_2458]),c_0_2449]),c_0_2459])]),c_0_2460]) ).
cnf(c_0_2469,negated_conjecture,
k5_rmod_4(esk344_0,esk345_0,esk51_3(esk344_0,esk345_0,esk346_0)) = k1_rlvect_1(esk345_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2466,c_0_2449]),c_0_2450]),c_0_2451]),c_0_2452]),c_0_2453]),c_0_2454]),c_0_2455]),c_0_2456]),c_0_2457]),c_0_2458]),c_0_2459])]),c_0_2460]),c_0_2461]) ).
cnf(c_0_2470,negated_conjecture,
v1_rmod_5(esk347_0,esk344_0,esk345_0),
i_0_2389 ).
cnf(c_0_2471,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk51_3(X2,X1,X3)) != k1_xboole_0
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_283 ).
cnf(c_0_2472,negated_conjecture,
k2_rmod_4(esk344_0,esk345_0,esk51_3(esk344_0,esk345_0,esk346_0)) = k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2467,c_0_2468]),c_0_2469]),c_0_2450]),c_0_2451]),c_0_2452]),c_0_2453]),c_0_2454]),c_0_2455]),c_0_2456]),c_0_2457]),c_0_2458]),c_0_2470]),c_0_2449]),c_0_2459])]),c_0_2460]) ).
cnf(c_0_2473,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2471,c_0_2472]),c_0_2450]),c_0_2451]),c_0_2439]),c_0_2452]),c_0_2440]),c_0_2453]),c_0_2441]),c_0_2454]),c_0_2442]),c_0_2455]),c_0_2456]),c_0_2457]),c_0_2458]),c_0_2449]),c_0_2459]),c_0_2438])]),c_0_2460]),c_0_2443]),c_0_2461]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG214+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 05:29:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.38/0.62 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.56/3.97 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.56/3.97 # No SInE strategy applied
% 10.56/3.97 # Trying AutoSched0 for 150 seconds
% 10.56/3.97 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.56/3.97 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.56/3.97 #
% 10.56/3.97 # Preprocessing time : 0.027 s
% 10.56/3.97 # Presaturation interreduction done
% 10.56/3.97
% 10.56/3.97 # Proof found!
% 10.56/3.97 # SZS status Theorem
% 10.56/3.97 # SZS output start CNFRefutation
% See solution above
% 10.56/3.97 # Training examples: 0 positive, 0 negative
% 10.56/3.97
% 10.56/3.97 # -------------------------------------------------
% 10.56/3.97 # User time : 0.053 s
% 10.56/3.97 # System time : 0.006 s
% 10.56/3.97 # Total time : 0.059 s
% 10.56/3.97 # Maximum resident set size: 7120 pages
% 10.56/3.97
%------------------------------------------------------------------------------